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Finding the Third Proportional to 91,158 and 195,942

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Solution

The third proportional to 91,158 and 195,942 is: 421,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,158 : 195,942 = 195,942 : x
  2. Step 2: Convert to fraction form
    91,158/195,942 = 195,942/x
  3. Step 3: Cross multiply
    91,158x = 195,942 × 195,942
  4. Step 4: Simplify right side
    91,158x = 38,393,267,364
  5. Step 5: Solve for x
    x = 38,393,267,364/91,158
  6. Step 6: Final answer
    x = 421,172.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.